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The Wigner function negative value domains and energy function poles of the polynomial oscillator

E.E. Perepelkin, B.I. Sadovnikov, N.G. Inozemtseva, E.V. Burlakov and P.V. Afonin

Physica A: Statistical Mechanics and its Applications, 2022, vol. 598, issue C

Abstract: For a quantum oscillator with the polynomial potential an explicit expression that describes the energy distribution as a coordinate (and momentum) function is obtained. The presence of the energy function poles is shown for the quantum system in the domains where the Wigner function has negative values.

Keywords: Wigner function; Quasi-probability; Quantum oscillator with the polynomial potential; Rigors result (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:598:y:2022:i:c:s0378437122002680

DOI: 10.1016/j.physa.2022.127339

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